Step-by-step explanation:
Hey there!
Given;
Midpoint is (-1,3) and one endppint is; A(4,-1).
Let the coordinates of C be (x,y).
Use the midpoint formula.
\((x,y) = ( \frac{x1 + x2}{2} ,\frac{y1 + y2}{2} )\)
Put all values.
\(( - 1,3) = (\frac{4 + x}{2} ,\frac{ - 1 + y}{2} )\)
Since, they are equal, equating with their corresponding elements we get,
\( - 1 = \frac{4 + x}{2} \)
Simplify it.
\( - 2 = 4 + x\)
\(x = - 6\)
Again,
\(3 = \frac{ - 1 + y}{2} \)
Simplify it.
\(6 = - 1 + y\)
\(y = 7\)
Therefore the another endpoint is C(-6,7).
Hope it helps...
Answer: A
Step-by-step explanation:
Edge 2023
The difference between two numbers is 5. One number is 2/3 the other number. What are the two numbers? Please explain how you got the answer.
Answer:
x = 15
y = 10
Step-by-step explanation:
x - y = 5; y =x-5
y = 2x/3
x - 5 = 2x/3
2x = 3(x-5)
2x = 3x-15
-x=-15
x = 15
y = 10
solve by factoring 9x^4-16=0
You go to a baseball game and buy 3 bottles of water and a bag of peanuts for $4.50. If you spend $10.50.Set up and solve the equations to find the cost for each bottle of water.
Answer:it would be $6
a circle has a circumference of 615.44615.44615, point, 44 units. what is the radius of the circle? use 3.14 for \piπpi and enter your answer as a decimal.
A circle with a circumference of 615.44 units has a radius of 98 units.
A circle is a round closed figure where all its boundary points are equidistant from a fixed point called the center.
The circumference of a circle is the perimeter of the circle. It is the total length of the boundary of the circle. The circumference of a circle is the product of the constant \(\pi\) and the diameter of the circle.
C = \(\pi\)D
The diameter (D) is the distance across the circle through the center, it is a line that meets the circumference at both ends and it needs to pass through the center. On the other hand, the radius (r) of a circle is the distance from the center of a circle to any point on the circumference of the circle. Radius is half of the diameter.
If r = 1/2 D, then
D = 2r
Evaluating the value of Din the formula of the circumference,
C = \(\pi\)(2r)
C = 2\(\pi\)r
Using the value of \(\pi\) as 3.14 and the circumference as 615.44 units,
evaluate the equation.
C = 2\(\pi\)r
615.44 = 2(3.14)r
r = 615.44/ (2*3.14)
r = 98 units
Therefore, the radius of the circle is 98 units.
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A football team loses 4 yards on each of 2 plays. What is the change in yardage after those 2 plays?
Answer: negative 8 yards
Step-by-step explanation:
Answer:
8 yards
Step-by-step explanation:
trust me its just multiplying
20, 37, 68, --?--2. Solve.3. Sketch.V + F = E + 2IT V 12 andF = 8, find E.
V + F = E + 2
If V=12 and F=8 Find E:
We have to replace the values given of V and F IN THE EXPRESSION:
12 + 8 = E+2
Now, we simply have to solve for E:
12+8 -2 =E
18=E
E=18
mrs. taylor picked up 2 bottles of peridex 0.12% rinse. each bottle is 1 pint. how many milliliters total did she get
The total amount of millimeters obtained by Mrs. Taylor was
946 ml
What is a fraction?Fractions are also called fractional numbers are defined as an expressed numerical value denoting a division and is expressed in the form:
x/y
Where:
x = numerator or dividingy = denominator or divisor.If the bottles have 12% peridex and we want to know the amount between the two, then we should know that it is a pint.
A pint is a unit of measurement for liquids
473 cm³ = 473mlSince two bottles were found, we must multiply the value by two.
2 x 473 = 946 ml
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PLS DO NUMBER 6 WILL MARK BRAINLY AND ALSO GIVE AN ADDITIONAL 100 PTS IF CORRECT PLS HURRY. THANK YOU
Answer: A
Step-by-step explanation:
Answer:
Step-by-step explanation:
A
Your school band needs to buy new percussion equipment. The equipment will cost $2000. You have collected $800 in donations and previous fundraisers. If you sell sandwiches at $4 each, how many sandwiches will you need to raise the remaining funds?
Answer:
300 sandwiches
Step-by-step explanation:
set it up as an equation
2000=800 + 4x
1200=4x
300=x
so you would need to sell 300 sammiches
Write an equation of the line that passes through (5. – 1) and is perpendicular to the line y = 1/2x - 1
An equation of the perpendicular line is y =
Answer:
y = - 2x + 9
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = \(\frac{1}{2} \) x - 1 ← is in slope- intercept form
with slope m = \(\frac{1}{2} \)
Given a line with slope m then the slope of a line perpendicular to it is
\(m_{perpendicular} \) = - \(\frac{1}{m} \) = - \(\frac{1}{\frac{1}{2} } \) = - 2 , then
y = - 2x + c ← is the partial equation
To find c substitute (5, - 1 ) into the partial equation
- 1 = - 10 + c ⇒ c = - 1 + 10 = 9
y = - 2x + 9 ← equation of perpendicular line
Without computing the sums, find the difference between the right- and left-hand Riemann sums if we use n=500 subintervals to approximate 1∫-1 (2x^3+4)dx
The difference between the right-hand Riemann sum and the left-hand Riemann sum is:Difference = S_R - S_L
The Riemann sum is a numerical approximation method that uses a series of rectangles to estimate the area under a curve. A function's Riemann sum is an estimation of its integral, which can be used to approximate the function's area.The difference between the right- and left-hand Riemann sums can be calculated without computing the sums. For a positive function, the right-hand Riemann sum will always be greater than the left-hand Riemann sum, resulting in a positive difference. The opposite is true for a negative function, with the left-hand Riemann sum being greater than the right-hand Riemann sum, resulting in a negative difference.The function (2x^3+4)dx has only positive terms, implying that the left-hand Riemann sum will be smaller than the right-hand Riemann sum. Since the function is continuous on the interval [-1, 1], both the left- and right-hand Riemann sums can be computed using the midpoint approximation. For a right-hand Riemann sum, the heights of the rectangles are evaluated at the right endpoint of each interval, while for a left-hand Riemann sum, the heights of the rectangles are evaluated at the left endpoint of each interval.In this situation, the width of each rectangle is Δx = (1 - (-1))/500 = 0.004. Furthermore, the height of each rectangle can be evaluated at its respective endpoint as follows:For the right-hand Riemann sum:Height = f(xi+1) = f(-1 + (i+1)Δx), for i = 0, 1, 2, ... , 499For the left-hand Riemann sum:Height = f(xi) = f(-1 + iΔx), for i = 0, 1, 2, ... , 499Since the function (2x^3+4)dx is even, the left-hand Riemann sum and the right-hand Riemann sum are symmetrically equivalent. The difference between the two sums can be calculated by subtracting the left-hand Riemann sum from the right-hand Riemann sum. The summations are as follows:Right-hand Riemann sum: S_R = ∑f(xi+1)Δx, from i=0 to 499Left-hand Riemann sum: S_L = ∑f(xi)Δx, from i=0 to 499Therefore, the difference between the right-hand Riemann sum and the left-hand Riemann sum is:Difference = S_R - S_L
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Sarah's parent bought a car but had to get a loan from the bank for $76,800. At present they have $80,000 in their account. Another $5000 will be used for car insurance and road tax, Calculate how much do they owe to the bank now?
The amount that Sarah's parent owe the bank now, will be the value of the loan which is $76, 800.
How to find the amount owed to the bank?The amount owed to a bank is the money that one either borrowed from the bank, or owes the bank for services such as overdraft or maintenance fees.
In this case, the amount of Sarah's parents will owe to the bank is the amount that they took as a loan which is $76, 800. The money in their account is still there's unless they default on paying off the loan.
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please help me answer this question!!!!
Answer:
4³ and 4 · 4 · 4
Step-by-step explanation:
4³ is the same as 4 · 4 · 4 (or 4 three times).
First We Need To Solve All The Expression:-
Expression (1)\((4) {}^{3} \\ = 4 \times 4 \times 4 \\ = 64\)
Expression (2)\(( {3})^{4} \\ = 3 \times 3 \times 3 \times 3 \\ = 81\)
Expression (3)\(\: \:\: \:4 \: ·4 \: ·4 \\ = 64\)
Expression (4)\(\: \:\: \:3 \: · \: 4 \\ = 12\)
\( \therefore \text{We Can See \underline{Expression (1)} And \underline{Expression (3)} are same}\)
Hope This HelpsAny help would be appreciated!
7/9+ 8/9 as a mixed number
Answer:
15/9 :))
is your answerrr
Answer:
15/9
Step-by-step explanation:
For this all you have to do is add the numerators.
So 7 + 8 = 15
The number is 15/9
Hope this helps ya!!
The slope of a line is 1/2 and passes the point (2, -5)find the equation
THE GENERAL EQUATION OF A STRAIGHT LINE IS y=mx+c
TO FIND c I WILL SUBSTITUTE THE GIVEN KNOWN POINTS.
\( - 5= \frac{1}{2} (2) + c \\ - 5= 1 + c \\ c = - 5 - 1 \\ c = - 6\)
THEREFORE WE NOW HAVE
\( y= \frac{1}{2} x - 6\)
ATTACHED IS THE SOLUTION
Explain why two variables must both be quantitative in order to find the correlation between them
If the variables are not quantitative we cannot do the arithmetic required in the formulas for r.
What is a variable?A variable in mathematics is a symbol and placeholder for a changing quantity or any mathematical object.A variable can specifically represent a number, a vector, a matrix, a function, a function's argument, a set, or an element of a set.Quantitative order:
Quantitative methods emphasize objective measurements and statistical, mathematical, or numerical analysis of data gathered through polls, questionnaires, and surveys, as well as by manipulating pre-existing statistical data using computational techniques. Ordinal-level measurement data can be quantitative or qualitative. They can be arranged in ranked order, but differences between entries are meaningless. Measurement data at the interval level are quantitative. They can be arranged in any order, and meaningful differences between data entries can be calculated. We can't do the arithmetic required in the r formulas if the variables aren't quantitative.Therefore, if the variables are not quantitative we cannot do the arithmetic required in the formulas for r.
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Evaluate the expression:
Will mark brainlyest!!
Answer:
6
Step-by-step explanation:
pemdas=parenthesis, exponents, multiplication, division, addition, subtraction. with this, we multiply 2 x the absolute value of -3, which is just 3. therefore, 6. now we see we need to subtract the absolute value of 6 from the absolute value of 8, which gives us 2. and 2+4 is 6.
Answer: 6
Step-by-step explanation:
8-2 x 3+4
2x3=6
8-6+4
2+4
=6
hope this helps
the fibonacci sequence 1, 1, 2, 3, 5, 8, 13, 21,... starts with two 1s, and each term afterwards is the sum of its two predecessors. which one of the ten digits is the last to appear in the units position of a number in the fibonacci sequence?
The last to appear in the ones position of a number in the Fibonacci sequence is 6.
The Fibonacci sequence 1, 1, 2, 3, 5, 8, 13, 21 , … starts with two 1s, and each term afterward is the sum of its two predecessors.
The next terms are:
1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946.
Here, it can be seen that is the last to appear in the ones position of a number in the Fibonacci sequence.
Thus, The last to appear in the ones position of a number in the Fibonacci sequence is 6.
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Please HELP!!!!!!! PLEASE
Answer:
Step-by-step explanation:
Twins born call A
single child born called B
twins in family history 1
twins not in family history 2
my new table
1. 2
A 8/34=0.23 (23.52%) 26/34=0.7647 (76.47%)
B. 125/966=0.1293 (12.93%) 841/966=0.8706(87.06%)
I hope u understand my table
order from least to greatest: -0.8, 2/5, 0.825, -3/5
When each side of a composition is exactly the same, it showsA) asymmetrical balance.B) perfect proportion.C) absolute symmetry.D) visual weight.
The correct response is C) absolute symmetry. Absolute symmetry is the property of a composition when each side is precisely the same.
Absolute symmetry occurs when the composition's two sides are identical; bilateral symmetry occurs when there are little differences between the two sides but overall it appears to be the same reflection on both sides. But in general, there are only two different kinds of symmetry lines: Symmetrical vertical line. Symmetrical horizontal line. The two basic types of symmetry are bilateral symmetry and radial symmetry, which arranges body parts around a central axis (in which organisms can be divided into two near-identical halves along a single plane).
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Who can help me find the slope to the graph? Please help it’s due soon
3. The function defined by m(h) = 300 * (3/4) ^ h represents the amount of a medicine, in milligrams, in a patient's bodyrepresents the number of hours after the medicine is administered . a. What does m(0.5) represent in this situation?
This means that after 0.5 hours, 259.81 milligrams of the medicine remain on the patient's body.
What does m(0.5) represent in this situation?We know that the exponential function defined by:
\(m(h) = 300*(3/4)^h\)
Represents the amount of a mediciene, in milligrams, after a number of hours h.
We want to see what does m(0.5) represent. This is the exponential function evaluated in h = 0.5
Then, it just represents the amount of medicine, in miligrams, in a patient's body present 0.5 hours after the medicine was administered.
Replacing h = 0.5 we get:
\(m(0.5) = 300*(3/4)^{0.5} = 259.81\)
This means that after 0.5 hours, 259.81 milligrams of the medicine remain on the patient's body.
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Josh has c, coins. Nick has 4 fewer than three times as Josh
The requried, total number of coins between Josh and Nick is 4c - 4.
Let's say Josh has c coins, and Nick has 4 fewer than three times as many coins as Josh. We can express this mathematically as:
Nick's coins = 3 * Josh's coins - 4
Now, if we add the number of coins Josh and Nick have, we get the total number of coins between them:
Total coins = Josh's coins + Nick's coins
Total coins = c + (3c - 4)
Total coins = 4c - 4
Therefore, the total number of coins between Josh and Nick is 4c - 4.
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Which equation has no solution?
6(5x+4)=3(10x+7)
6 times open paren 5 x plus 4 close paren is equal to 3 times open paren 10 x plus 7 close paren
18x+17=2(9x+8)+1
18 x plus 17 is equal to 2 times open paren 9 x plus 8 close paren plus 1
4(3x−7)=8(2x+3)
Answer:
The answer of the question is 6(5x+4)=3(10x+7)
Simplify √-45 please i need this for math to pass
Answer:3√5
Step-by-step explanation:
√ 45 = 3√5. Therefore, the square root of 45 in radical form is 3√5. Square Root of 45 in Radical Form: 3√5.
Answer:
The answer is 3√5
Find the intervals on which f is increasing and decreasing f(x)=−5sin2x on [−π,π] Select the correct choice below and, if necessary, fill in the answer box(es) within your choice. A. The function is increasing on the open interval(s) and decreasing on the open interval(s) (Simplify your answers. Type your answers in interval notation. Type exact answers, using π as needed. Use comma to separate answers as needed.) B. The function is increasing on the open interval(s) The function is never decreasing (Simplify your answer. Type your answer in interval notation. Type exact answers, using π as needed. Use a comma to separate answers as needed ) C. The function is decreasing on the open interval(s) The function is never increasing (Simplify your answer. Type your answer in interval notation. Type exact answers, using π as needed. Use a comma to separate answers as needed.) D. The function is never increasing or decreasing
To find the intervals on which the function f(x) = -5sin^2(x) is increasing and decreasing on the interval [-π, π], we need to analyze the derivative of the function.
First, let's find the derivative of f(x):f'(x) = d/dx[-5sin^2(x)]To find the derivative, we can use the chain rule:f'(x) = -10sin(x)cos(x)
Next, we need to determine where the derivative is positive (increasing) and where it is negative (decreasing).Setting f'(x) > 0:-10sin(x)cos(x) > 0Since the product of two numbers is positive when both numbers have the same sign, we can conclude that either both sin(x) and cos(x) are positive or both are negative.
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A passenger jet plane cruises at 550 knots. It enters a jet stream with
a tailwind speed of 120 knots. If the speed of sound is 661 knots,
will the jet travel faster or slower than sound during its journey?
Considering the direction of the wind, it is found that the jet travels faster than the sound during it's journey.
What is the ground speed?The jet's speed, considering that there is a tailwind, is given by:
J = Plane speed + Wind speed.
In this problem, we have that the speeds are given as follows:
Plane: 550 knots.Wind: 120 knots.Hence the jet's speed is given by:
J = 550 + 120 = 670 knots.
670 knots > 661 knots, hence the jet travels faster than the sound during it's journey.
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In PQR the measure of R=90 the measure of P=62 and RP=8.6 find the length of QR to the nearest tenth of a foot.
Answer:
QR = 4.6 ft
Step-by-step explanation:
By applying tangent rule in the given triangle PQR,
tan(62°) = \(\frac{\text{Opposite side}}{\text{Adjacent side}}\)
= \(\frac{8.6}{QR}\)
QR = \(\frac{8.6}{\text{tan}(62)}\)
QR = 4.573
QR ≈ 4.6 ft
Help PLSS! Find the volume of the space inside the right cylinder that is not filled by the right cone using the information given below
The volume of the space inside the cylinder that is not filled with the right cone is 640π m³
What is volume?Volume is the total space occupied by a solid shape.
To calculate the volume of the space inside the cylinder that is not filled with the right cone, we use the formula below.
Formula:
V = πr²h-(πr²h/3)...............................Equation 1Where:
V = Volume of the space not filledh = Height of the cone/Cylinderr = Radius of the base of the cone and the cylinderFrom the question,
Given:
r = /AC/÷2 = 16/2 = 8 m/BD/ = 17 mh = √(BD²-r²) = √(17²-8²) = √225 = 15 mSubstitute these values into equation 1
V = (π×8²×15)-(π×8²×15/3)V = 960π-320πV = 640π m³Hence the right option is A. 640π m².
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